Sadly I don't think that an export will take these along for the ride.
Do you have access to the database? You can dump the two DB tables that contain all the map info and move them over to your new database. Those tables don't contain info that is specific to any particular WP installation.
For example:
mysqldump -u old_db_user_name -p old_database_name wp_wpgmappity_maps < maps_export.sql
mysqldump -u old_db_user_name -p old_database_name wp_wpgmappity_markers < markers_export.sql
Then:
mysql -u new_db_user_name -p new_database_name wp_wpgmappity_maps < maps_export.sql
mysql -u new_db_user_name -p new_database_name wp_wpgmappity_markers < markers_export.sql